#include "split.h"
#include<bits/stdc++.h>
using namespace std;
const int maxn = 2e5+5;
#define pii pair<int,int>
#define fi first
#define se second
vector<int> edge[maxn],tree[maxn];
int low[maxn],num[maxn],sz[maxn],T;
bool del[maxn],vis[maxn];
void pre_dfs(int u,int p){
sz[u]=1;
low[u]=num[u]=++T;
for(int v:edge[u]){
if(v==p) continue;
if(!num[v]){
pre_dfs(v,u);
sz[u]+=sz[v];
tree[u].push_back(v);
low[u]=min(low[u],low[v]);
//cout << "tree " << u << ' ' << v << '\n';
}
else low[u]=min(low[u],num[v]);
}
}
vector<int> find_split(int n, int A, int B, int C, vector<int> U, vector<int> V) {
int m=(int)U.size();
vector<pii> S={{A,1},{B,2},{C,3}};
sort(S.begin(),S.end());
for(int i=0;i<m;i++){
edge[U[i]].push_back(V[i]);
edge[V[i]].push_back(U[i]);
}
pre_dfs(0,0);
int x=0;
bool check=true;
while(check){
check=false;
for(int v:tree[x]) if(sz[v]>=S[0].fi){
x=v,check=true;
break;
}
}
vector<int> c(n,S[2].se);
function<void(int)> color = [&](int u){
vis[u]=true;
if(S[1].fi) c[u]=S[1].se,S[1].fi--;
for(int v:tree[u]) color(v);
};
function<void(int)> color2 = [&](int u){
vis[u]=true;
if(S[0].fi) c[u]=S[0].se,S[0].fi--;
for(int v:edge[u]) if(!vis[v]) color2(v);
};
int ss=sz[x];
for(int v:tree[x]){
if(low[v]<num[x] && ss-sz[v]>=S[0].fi){
del[v]=true;
ss-=sz[v];
}
}
if(n-ss>=S[1].fi) swap(S[0],S[1]);
if(n-ss>=S[0].fi){
S[1].fi--;
c[x]=S[1].se;
vis[x]=true;
for(int v:tree[x]) if(!del[v]) color(v);
for(int i=0;i<n;i++) if(!vis[i]){
color2(i);
break;
}
}
else return vector<int>(n,0);
return c;
}
